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What is the Least Common Multiple of 10408 and 10424?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 10408 and 10424 is 13561624.

LCM(10408,10424) = 13561624

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Least Common Multiple of 10408 and 10424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10408 and 10424, than apply into the LCM equation.

GCF(10408,10424) = 8
LCM(10408,10424) = ( 10408 × 10424) / 8
LCM(10408,10424) = 108492992 / 8
LCM(10408,10424) = 13561624

Least Common Multiple (LCM) of 10408 and 10424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10408 and 10424. First we will calculate the prime factors of 10408 and 10424.

Prime Factorization of 10408

Prime factors of 10408 are 2, 1301. Prime factorization of 10408 in exponential form is:

10408 = 23 × 13011

Prime Factorization of 10424

Prime factors of 10424 are 2, 1303. Prime factorization of 10424 in exponential form is:

10424 = 23 × 13031

Now multiplying the highest exponent prime factors to calculate the LCM of 10408 and 10424.

LCM(10408,10424) = 23 × 13011 × 13031
LCM(10408,10424) = 13561624